Determination of a Source Term in an Inverse Heat Conduction Problem by Radial Basis Functions

International Journal of Mathematical Modelling & Computations

مقاله 1، دوره 7، 3 (SUMMER) - شماره پیاپی 27، آبان 2017، صفحه 175-183   

نوع مقاله: Full Length Article

نویسنده

Muhammad Arghand^*

چکیده

In this paper, we propose a technique for determining a source term
in an inverse heat conduction problem (IHCP) using Radial Basis Functions (RBFs). Because of being very suitable instruments, the RBFs have
been applied for solving Partial Dierential Equations (PDEs) by some
researchers. In the current study, a stable meshless method will be pro-
posed for solving an (IHCP). The other advantage of the method is that
can be applied to the problems with various types of boundary conditions.
The results of numerical experiments are presented and compared with
analytical solutions. The results demonstrate the reliability and efficiency of
the proposed scheme.

کلیدواژه‌ها

‎Direct heat conduction problem؛ Inverse heat conduction problem؛ ‎ ‎heat equation؛ Radial basis functions